Answered

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If Erica teaches 15 fewerthan twice as many as Bo, how many classes does each instructor teach per week?

If Erica Teaches 15 Fewerthan Twice As Many As Bo How Many Classes Does Each Instructor Teach Per Week class=

Sagot :

STEP - BY - STEP EXPLANATION

What to find?

The number each instructor teach per week.

Given:

Total number they teach per week =39

let e = number of classes Erica teaches per week and b = the number of classes Bo teaches per week.

e =2b - 15

Step 1

Form the linear equation.

[tex]b+e=39[/tex]

Step 2

Substitute e=2b-15 into the above.

[tex]b+2b-15=39[/tex]

Step 3

Collect like term.

[tex]b+2b=39+15[/tex][tex]3b=54[/tex]

Step 4

Divide both-side of the equation by 3.

[tex]\frac{3b}{3}=\frac{54}{3}[/tex][tex]b=18[/tex]

Step 5

Determine Erica's age.

[tex]\begin{gathered} b+e=39 \\ \\ e=39-b \\ \\ e=39-18 \\ \\ e=21 \end{gathered}[/tex]

ANSWER

c. 18 Bo; 21 Erica

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